Given numbers are 258,321,218,497

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 258,321,218,497 is 1495499838.

Find LCM of 258,321,218,497 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 43 x 107 x 109 x 497 = 1495499838

Therefore, the lowest common multiple of 258,321,218,497 is 1495499838.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

258 x 321 x 218 x 497 = 8972999028

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

258 : 1, 2, 3, 6, 43, 86, 129, 258

321 : 1, 3, 107, 321

218 : 1, 2, 109, 218

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,321,218,497, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

321:3x 107

218:2x 109

497:7x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 8972999028/(1x6)

LCM = 8972999028/6

LCM = 1495499838

Thus, we can understand that the LCM of 258,321,218,497 is 1495499838.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 428, 853, 215, 901
• LCM of 292, 803, 165, 912
• LCM of 646, 759, 431, 951
• LCM of 608, 592, 918, 690
• LCM of 445, 587, 145, 790

1. What is the LCM of 258, 321, 218, 497?

Answer: LCM of 258, 321, 218, 497 is 1495499838.

2. How to calculate the LCM of 258, 321, 218, 497?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 258, 321, 218, 497.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.